Instability of high dimensional Hamiltonian systems: Multiple resonances do not impede diffusion

Advances in Mathematics ◽

10.1016/j.aim.2015.11.010 ◽

2016 ◽

Vol 294 ◽

pp. 689-755 ◽

Cited By ~ 8

Author(s):

Amadeu Delshams ◽

Rafael de la Llave ◽

Tere M. Seara

Keyword(s):

Hamiltonian Systems ◽

High Dimensional ◽

Multiple Resonances

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Homoclinic solutions for eventually autonomous high-dimensional Hamiltonian systems

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00281-0 ◽

2002 ◽

Vol 274 (2) ◽

pp. 536-553

Author(s):

B. Buffoni

Keyword(s):

Hamiltonian Systems ◽

Homoclinic Solutions ◽

High Dimensional

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On the stability of periodic orbits of high dimensional autonomous Hamiltonian systems

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(01)00347-5 ◽

2001 ◽

Vol 159 (3-4) ◽

pp. 155-179 ◽

Cited By ~ 30

Author(s):

Ch Skokos

Keyword(s):

Periodic Orbits ◽

Hamiltonian Systems ◽

High Dimensional ◽

Stability Of Periodic Orbits ◽

The Stability

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On diffusion in high-dimensional Hamiltonian systems

Journal of Functional Analysis ◽

10.1016/j.jfa.2004.09.006 ◽

2005 ◽

Vol 229 (1) ◽

pp. 1-61 ◽

Cited By ~ 14

Author(s):

Jean Bourgain ◽

Vadim Kaloshin

Keyword(s):

Hamiltonian Systems ◽

High Dimensional

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Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations

Ergodic Theory and Dynamical Systems ◽

10.1017/s0143385703000750 ◽

2004 ◽

Vol 24 (5) ◽

pp. 1331-1357 ◽

Cited By ~ 22

Author(s):

JEAN BOURGAIN

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Hamiltonian Systems ◽

High Dimensional ◽

Partial Differential ◽

And Diffusion

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From Efficient Symplectic Exponentiation of Matrices to Symplectic Integration of High-dimensional Hamiltonian Systems with Slowly Varying Quadratic Stiff Potentials

Applied Mathematics Research eXpress ◽

10.1093/amrx/abr008 ◽

2011 ◽

Vol 2011 (2) ◽

pp. 242-280 ◽

Cited By ~ 6

Author(s):

Molei Tao ◽

Houman Owhadi ◽

Jerrold E. Marsden

Keyword(s):

Hamiltonian Systems ◽

High Dimensional ◽

Symplectic Integration

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Solving high‐dimensional Lyapunov inequalities to obtain linear port‐Hamiltonian systems

PAMM ◽

10.1002/pamm.201800205 ◽

2018 ◽

Vol 18 (1) ◽

Author(s):

Roland Pulch

Keyword(s):

Hamiltonian Systems ◽

High Dimensional ◽

Lyapunov Inequalities

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Early effect in time-dependent, high-dimensional nonlinear dynamical systems with multiple resonances

Physical Review E ◽

10.1103/physreve.91.022906 ◽

2015 ◽

Vol 91 (2) ◽

Cited By ~ 1

Author(s):

Youngyong Park ◽

Younghae Do ◽

Sebastian Altmeyer ◽

Ying-Cheng Lai ◽

GyuWon Lee

Keyword(s):

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

Time Dependent ◽

High Dimensional ◽

Early Effect ◽

Nonlinear Dynamical ◽

Multiple Resonances

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On diffusion in high-dimensional Hamiltonian systems and PDE

Journal d Analyse Mathématique ◽

10.1007/bf02791532 ◽

2000 ◽

Vol 80 (1) ◽

pp. 1-35 ◽

Cited By ~ 32

Author(s):

J. Bourgain

Keyword(s):

Hamiltonian Systems ◽

High Dimensional

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Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems in the case of multiple resonances

Journal of Differential Equations ◽

10.1016/j.jde.2015.01.044 ◽

2015 ◽

Vol 258 (11) ◽

pp. 3880-3901 ◽

Cited By ~ 6

Author(s):

F. dos Santos ◽

C. Vidal

Keyword(s):

Hamiltonian Systems ◽

Equilibrium Solutions ◽

Stability Of Equilibrium ◽

Multiple Resonances

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Shadowing High-Dimensional Hamiltonian Systems: The GravitationalN-body Problem

Physical Review Letters ◽

10.1103/physrevlett.90.054104 ◽

2003 ◽

Vol 90 (5) ◽

Cited By ~ 12

Author(s):

Wayne B. Hayes

Keyword(s):

Hamiltonian Systems ◽

Body Problem ◽

High Dimensional

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